Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of 2/3 to make his sketch. How many inches wide is Yuron’s sketch?

Answers

Answer 1

Answer: 54*(2/3)= 36= wide
72*(2/3)= 48= long

Answer 2

Answer:

Answer: Yuron's painting is 36 inches wide.

Step-by-step explanation: Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of $(2)/(3)$ to make his sketch.

We are given to find the width Yuron’s sketch.

Let, w and w' represents the width of the famous painting and Yuron's painting.

Then, w = 54 inches, w' = ?

We know that the scale factor is defined by

$S=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.$

Therefore, we have

$(2)/(3)=\frac{\textup{width of Yuron's painting}}{\textup{width of the famous painting}}\n\n\n\Rightarrow (2)/(3)=(w')/(w)\n\n\Rightarrow (2)/(3)=(w')/(54)\n\n\n\Rightarrow w'=(2* 54)/(3)\n\n\n\Rightarrow w'=36.$

Thus, Yuron's painting is 36 inches wide.

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Find the area of the given circle. Round to the nearest tenth.11.0 ft^2
38.5 ft^2
42.8 ft^2
113.0 ft^2

Answers

$diameter=12\ ft\n\ndiameter=2\ radius\n\n2r=12\ ft.\ \ \ /:2\nr=6\ ft.\n\nA=\pi r^2\n\nA=\pi\cdot6^2=36\pi\ (ft^2)\approx36\cdot3.14=113.04\ (ft^2)\approx113.0\ (ft^2)$

Write an equation that involves multiplication, contains, a variable, and has a solution of 5

Answers

2x+6 = 16
-6 -6
2x = 10
2x/2
10/2
x = 5

Hope this helps
The equation at the top is the answer and it has a solution of 5.

Convert 0.5¯ to a fraction. a) 120/1 b) 1/2 c) 5/11 d) 5/9

Answers

Final answer:

0.5 as a decimal can be converted to a fraction by considering the place value. In this case, that's 5 over 10 due to the decimal being in the tenths place. However, this fraction should be simplified to the lowest term, which brings it to 1/2.

Explanation:

The conversion of the decimal number to a fraction is achievable by understanding that decimal numbers are a portion of whole numbers. In this case, 0.5 is your given decimal number. To convert this decimal to a fraction, you consider the place value of the decimal number. In this scenario, 0.5 is a decimal in the tenths place. Therefore, you can make the number 5 (extracted from 0.5) as your numerator and 10 (which signifies 1 whole consisting of ten tenths) as your denominator. However, this gives you 5/10, and it's customary to simplify a fraction to its lowest term. By dividing both the numerator and denominator by their biggest common factor which is 5, you get 1/2 as the simplified fractional equivalent of the decimal 0.5.

So, 0.5 as a fraction is b) 1/2.

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Answer:

1/2

Step-by-step explanation:

0.5=5/10=1/2

Whenever the number is right after the decimal point, it is always divided by 10.

Can someone help with geometry !! If m

Answers

i can try to help you if you type the rest of your question!

Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror? Hexagon B. C. D. Square Pentagon Heptagon 18. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window? A. B. C. D. 20 inches 40 inches 15 inches 60 inches

Answers

The mirror has 5 sides. Its shape is a pentagon. Penta means 5.

Perimeter of a church window is 80 inches. If the window is square shaped, its length of each side is 20 inches.

80 inches / 4 sides = 20 inches.

The shape of the mirror is Pentagon.

18. the length of each side of the church window is 20 inches, option A is correct.

Josie's mirror has 5 sides, which means it is a polygon with five edges.

The specific term used to describe a polygon with five sides is a pentagon.

A pentagon is a geometric shape with five sides and five angles. Each side of a regular pentagon is of equal length, and each interior angle measures 108 degrees.

In the case of Josie's mirror, since it has 5 sides, it is referred to as a pentagon.

18. Given that the church window has a perimeter of 80 inches and it is in the shape of a square.

We can find the length of each side by dividing the perimeter by 4 (since a square has four equal sides).

Perimeter = 4 × Length of each side

80 inches = 4 × Length of each side

Dividing both sides by 4:

Length of each side = 80 inches / 4

= 20 inches

Therefore, the length of each side of the church window is 20 inches.

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